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Don’t Tax Capital — Optimal Ramsey Taxation in Heterogeneous Agent Economies with Quasi-Linear Preferences

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  • Chien, YiLi

    () (Federal Reserve Bank of St. Louis)

  • Wen, Yi

    () (Federal Reserve Bank of St. Louis)

Abstract

We build a tractable infinite-horizon Aiyagari-type model with quasi-linear preferences to address a set of long-standing issues in the optimal Ramsey taxation literature. The tractability of our model enables us to analytically prove the existence of Ramsey steady states and establish several strong and novel results: (i) Depending on the government’s capacity to issue debts, there can exist different types of Ramsey steady state and their existence depends critically on model parameter values. (ii) The optimal capital tax is exclusively zero in a Ramsey steady state regardless of the modified golden rule and government debt limits. (iii) Along the transition path toward a Ramsey steady state, optimal capital tax depends positively on the elasticity of intertemporal substitution. (iv) When a Ramsey steady state (featuring a non-binding government debt limit) does not exist but is erroneously assumed to exist, the modified golden rule always “holds” and the implied “optimal” long-run capital tax is strictly positive, reminiscent of the result obtained by Aiyagari (1995). (v) Whether the modified golden rule holds depends critically on the government’s capacity to issue debts, but has no bearing on the planner’s long-run capital tax scheme. (vi) The optimal debt-to-GDP ratio in the absence of a binding debt limit, however, is determined by a positive wedge times the modified-golden-rule saving rate; the wedge is decreasing in the strength of the individual self-insurance position and approaches zero when the idiosyncratic risk vanishes or markets are complete. The key insight behind our results is the Ramsey planner’s ultimate concern for self-insurance. Since taxing capital in the steady state permanently hinders individuals’ self-insurance positions, the Ramsey planner prefers (i) issuing debt rather than imposing a steady-state capital tax to correct the capital-overaccumulation problem under precautionary saving motives, and (ii) taxing capital only in the short run regardless of its debt positions. Thus, in sharp contrast to Aiyagari’s argument, permanent capital taxation is not the optimal tool to achieve aggregate allocative efficiency despite overaccumulation of capital, and the modified golden rule can fail to hold in a Ramsey equilibrium whenever the government encounters a debt-limit.

Suggested Citation

  • Chien, YiLi & Wen, Yi, 2019. "Don’t Tax Capital — Optimal Ramsey Taxation in Heterogeneous Agent Economies with Quasi-Linear Preferences," Working Papers 2019-7, Federal Reserve Bank of St. Louis.
  • Handle: RePEc:fip:fedlwp:2019-007
    DOI: doi.org/10.20955/wp.2019.007
    Note: Revision of WP 2017-024, Optimal Ramsey Capital Income Taxation—A Reappraisal https://doi.org/10.20955/wp.2017.024
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    References listed on IDEAS

    as
    1. Aiyagari, S Rao, 1995. "Optimal Capital Income Taxation with Incomplete Markets, Borrowing Constraints, and Constant Discounting," Journal of Political Economy, University of Chicago Press, vol. 103(6), pages 1158-1175, December.
    2. Xavier Ragot & Francois Le Grand, 2017. "Optimal Fiscal Policy with Heterogeneous Agents and Aggregate Shocks," 2017 Meeting Papers 969, Society for Economic Dynamics.
    3. Ljungqvist, Lars & Sargent, Thomas J., 2012. "Recursive Macroeconomic Theory, Third Edition," MIT Press Books, The MIT Press, edition 3, volume 1, number 0262018748, January.
    4. Emmanuel Farhi, 2010. "Capital Taxation and Ownership When Markets Are Incomplete," Journal of Political Economy, University of Chicago Press, vol. 118(5), pages 908-948.
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    Blog mentions

    As found by EconAcademics.org, the blog aggregator for Economics research:
    1. Don’t Tax Capital — Optimal Ramsey Taxation in Heterogeneous Agent Economies with Quasi-Linear Preferences
      by Christian Zimmermann in NEP-DGE blog on 2019-03-21 16:04:46

    More about this item

    Keywords

    Optimal Capital Taxation; Ramsey Problem; Incomplete Markets;

    JEL classification:

    • E13 - Macroeconomics and Monetary Economics - - General Aggregative Models - - - Neoclassical
    • E62 - Macroeconomics and Monetary Economics - - Macroeconomic Policy, Macroeconomic Aspects of Public Finance, and General Outlook - - - Fiscal Policy
    • H21 - Public Economics - - Taxation, Subsidies, and Revenue - - - Efficiency; Optimal Taxation
    • H30 - Public Economics - - Fiscal Policies and Behavior of Economic Agents - - - General

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